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Finding the Fourth Proportional to 394,287.60, 591,366.78 and 109,997.40

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Solution

The fourth proportional to 394,287.60, 591,366.78 and 109,997.40 is: 164,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,287.60 : 591,366.78 = 109,997.40 : x
  2. Step 2: Convert to fraction form
    394,287.60/591,366.78 = 109,997.40/x
  3. Step 3: Cross multiply
    394,287.60x = 591,366.78 × 109,997.40
  4. Step 4: Simplify right side
    394,287.60x = 65,048,808,246.37
  5. Step 5: Solve for x
    x = 65,048,808,246.37/394,287.60
  6. Step 6: Final answer
    x = 164,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.